398678490756 has 960 divisors, whose sum is σ = 1393362432000. Its totient is φ = 97141524480.

The previous prime is 398678490737. The next prime is 398678490761. The reversal of 398678490756 is 657094876893.

398678490756 is a `hidden beast` number, since 3 + 9 + 8 + 67 + 8 + 490 + 75 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4479533560 + ... + 4479533648.

It is an arithmetic number, because the mean of its divisors is an integer number (1451419200).

Almost surely, 2^398678490756 is an apocalyptic number.

398678490756 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398678490756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696681216000).

398678490756 is an abundant number, since it is smaller than the sum of its proper divisors (994683941244).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

398678490756 is a wasteful number, since it uses less digits than its factorization.

398678490756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 398678490756 in words is "three hundred ninety-eight billion, six hundred seventy-eight million, four hundred ninety thousand, seven hundred fifty-six".